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19 papers · 1 filter
Mass under the Ricci flow
Xianzhe Dai, Li Ma
In this paper, we study the change of the ADM mass of an ALE space along the Ricci flow. Thus we first show that the ALE property is preserved under the Ricci flow. Then, we show t…
Spin Liquid Phase in Anisotropic Triangular Lattice Heisenberg Model: Exact diagonalization and density-matrix renormalization group calculations
M. Q. Weng, D. N. Sheng, Z. Y. Weng +1
Based on exact diagonalization and density matrix renormalization group (DMRG) method, we show that an anisotropic triangle lattice Heisenberg spin model has three distinct quantum…
Numerical Study of Spin Hall Transport in a Two Dimensional Hole Gas System
W. Q. Chen, Z. Y. Weng, D. N. Sheng
We present a numerical study of the spin Hall effect in a two-dimensional hole gas (2DHG) system in the presence of disorder. We find that the spin Hall conductance (SHC), extrapol…
SWAF: Swarm Algorithm Framework for Numerical Optimization
Xiao-Feng Xie, Wen-Jun Zhang
A swarm algorithm framework (SWAF), realized by agent-based modeling, is presented to solve numerical optimization problems. Each agent is a bare bones cognitive architecture, whic…
Handling boundary constraints for numerical optimization by particle swarm flying in periodic search space
Wen-Jun Zhang, Xiao-Feng Xie, De-Chun Bi
The periodic mode is analyzed together with two conventional boundary handling modes for particle swarm. By providing an infinite space that comprises periodic copies of original s…
Handling equality constraints by adaptive relaxing rule for swarm algorithms
Xiao-Feng Xie, Wen-Jun Zhang, De-Chun Bi
The adaptive constraints relaxing rule for swarm algorithms to handle with the problems with equality constraints is presented. The feasible space of such problems may be similiar…